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Finding the Fourth Proportional to 260,300.30, 390,547.66 and 102,638.66

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Solution

The fourth proportional to 260,300.30, 390,547.66 and 102,638.66 is: 153,996.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,300.30 : 390,547.66 = 102,638.66 : x
  2. Step 2: Convert to fraction form
    260,300.30/390,547.66 = 102,638.66/x
  3. Step 3: Cross multiply
    260,300.30x = 390,547.66 × 102,638.66
  4. Step 4: Simplify right side
    260,300.30x = 40,085,288,488.54
  5. Step 5: Solve for x
    x = 40,085,288,488.54/260,300.30
  6. Step 6: Final answer
    x = 153,996.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.